Dominated splitting for exterior powers and singular hyperbolicity
Explore this paper's citation graph
- Type
- article
- Published
- 2012-04-21
- Cited by
- 6
- References
- 32
- Access
- Open access
- OpenAlex
- https://openalex.org/W348466217
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:118128780
Keywords
Mathematics, Vector field, Tangent, Pure mathematics, Degenerate energy levels
References
- Three-Dimensional Flows
- Dynamics Beyond Uniform Hyperbolicity: A Global Geometric and Probabilistic Perspective
- Singular hyperbolic systems
- Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms
- Global Stability of Dynamical Systems
- Dynamical Systems: Stability, Symbolic Dynamics, and Chaos
- Introduction to the Modern Theory of Dynamical Systems
- QUASIRANDOM DYNAMICAL SYSTEMS. I. QUASIRANDOM DIFFEOMORPHISMS
- QUASIRANDOM DYNAMICAL SYSTEMS. III QUASIRANDOM OSCILLATIONS OF ONE-DIMENSIONAL OSCILLATORS
- On critical orbits and sectional hyperbolicity of the nonwandering set for flows
- The Lorenz attractor exists
- Dominated splittings for flows with singularities
- Invariant families of cones and Lyapunov exponents
- SECTIONAL LYAPUNOV EXPONENTS
- What’s new on lorenz strange attractors?
- Infinitesimal Lyapunov functions, invariant cone families and stochastic properties of smooth dyanmical systems
- Expansive homeomorphisms of surfaces
- Robust transitive singular sets for 3-flows are partially hyperbolic attractors or repellers
- Sectional-hyperbolic systems
- Infinitesimal Lyapunov functions for singular flows
Cited by
- Lyapunov theorems for exponential dichotomies in Hilbert spaces
- Singular hyperbolicity and sectional Lyapunov exponents of various orders
- Star Flows: A Characterization Via Lyapunov Functions
- Adapted Metrics for Singular Hyperbolic Flows
- Uniform gap in Lyapunov exponents and dominated splitting for linear cocycles
- Adapted Metrics for Codimension One Singular Hyperbolic Flows
Related papers
- Analysis of the Condition for the Applicability of Degenerate Perturbation Method
- Identities involving degenerate harmonic and degenerate hyperharmonic numbers
- Generalized Landau-Zener formula for non-adiabatic transitions between degenerate states
- Degenerate Daehee Numbers of the Third Kind
- Symmetrization of Hyperbolic Systems with Non-degenerate Characteristics
- Degenerate Daehee Numbers of the Third Kind
- Robust computation of tangent lines and circles
- Some Results on Cosymplectic Manifolds Admitting Certain Vector Fields
- Integrable 2D and 3D piecewise smooth vector fields with chaotic behavior and preserving energy or not
- Vector Fields Tangent to Foliations